Hamiltonian Light-Front Field Theory and Quantum Chromodynamics

Abstract

Light-front coordinates offer a scenario in which a constituent picture of hadron structure can emerge from QCD, after several difficulties are addressed. Field theoretic difficulties force us to introduce cutoffs that violate Lorentz covariance and gauge invariance, and a new renormalization group formalism based on a similarity transformation is used with coupling coherence to fix cuonterterms that restore these symmetries. The counterterms contain functions of longitudinal momentum fractions that severely complicate renormalization, but they also offer possible resolutions of apparent contradictions between the constituent picture and QCD. The similarity transformation and coupling coherence are applied to QED; and it is shown that the resultant Hamiltonian leads to standard lowest order bound state results, with the Coulomb interaction emerging naturally. The same techniques are applied to QCD and with physically motivated assumptions it is shown that a simple confinement mechanism appears.

corrected version of 1994 lectures, 84 pages, LATEX. Published in "Hadron Physics 94," Proceedings, Gramado, Brazil (World Scientific, 1995)

References in corpus (1)

• Chiral Symmetry and the Constituent Quark Model: A Null-Plane Point of View

Cited by in corpus (10)

• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• An Introduction to Light-Front Dynamics for Pedestrians
• Glueballs in a Hamiltonian Light-Front Approach to Pure-Glue QCD
• Mesons in Light-Front QCD${}_{2+1}$: Investigation of a Bloch Effective Hamiltonian
• Systematic Renormalization in Hamiltonian Light-Front Field Theory
• Systematic Renormalization in Hamiltonian Light-Front Field Theory: The Massive Generalization
• On The Interaction Of D0-Brane Bound States And RR Photons
• Mesons in (2+1) Dimensional Light Front QCD. II. Similarity Renormalization Approach
• Quarks and Antiquarks in Nuclei
• Non-perturbative Studies in Quantum Chromodynamics